Multidimensional Einstein-Yang-Mills cosmological models
Yu. Kubyshin, E. Moreno, J. I. P\'erez Cadenas
TL;DR
This paper investigates the evolution of extra dimensions in Einstein-Yang-Mills cosmological models, showing that static compact extra dimensions can be stable attractors and that isotropization occurs during evolution.
Contribution
It demonstrates the stability of static compact extra dimensions and the isotropization process within Einstein-Yang-Mills cosmological models, expanding understanding of higher-dimensional universe dynamics.
Findings
Static compact extra dimensions are attractors for various initial conditions.
Isotropization of extra dimensions occurs during evolution.
Certain classes of models exhibit stable extra-dimensional configurations.
Abstract
We study the process of the evolution of the space of extra dimensions in the framework of Einstein-Yang-Mills cosmological models. It is shown that, for certain classes of models, the static compact space of extra dimensions is the attractor for a wide range of initial conditions. Also the effect of isotropization of extra dimensions in the course of evolution is demonstrated.
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Taxonomy
TopicsCosmology and Gravitation Theories · Geometric Analysis and Curvature Flows · Relativity and Gravitational Theory